45742620 has 96 divisors (see below), whose sum is σ = 159699456. Its totient is φ = 9504000.

The previous prime is 45742601. The next prime is 45742621. The reversal of 45742620 is 2624754.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45742621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331 + ... + 9570.

It is an arithmetic number, because the mean of its divisors is an integer number (1663536).

Almost surely, 2^45742620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45742620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79849728).

45742620 is an abundant number, since it is smaller than the sum of its proper divisors (113956836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45742620 is a wasteful number, since it uses less digits than its factorization.

45742620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9931 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 45742620 is about 6763.3290619339. The cubic root of 45742620 is about 357.6352724593.

It can be divided in two parts, 457426 and 20, that added together give a triangular number (457446 = T₉₅₆).

The spelling of 45742620 in words is "forty-five million, seven hundred forty-two thousand, six hundred twenty".